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Feb 19, 2017 at 14:58 comment added zhk @SkSarifHassan I don't know. If it is about Mathematica then ask about it as a new question?
Feb 19, 2017 at 14:44 comment added Sk Sarif Hassan I did not see last plot. Yes! Sorry. Will solution be bounded if we start from unit ball in complex plane, what do you think?
Feb 19, 2017 at 14:35 comment added Sk Sarif Hassan @MMM, yes it is. I was thinking from complex variable point of view. What about bifurcation diagram for k?
Feb 19, 2017 at 13:32 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 13:23 comment added zhk @SkSarifHassan Is this what you wanted? or I am missing something?
Feb 19, 2017 at 6:57 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 6:49 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 6:39 comment added zhk @SkSarifHassan Check my edited response.
Feb 19, 2017 at 6:38 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 6:31 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 5:38 history edited zhk CC BY-SA 3.0
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Feb 19, 2017 at 4:08 comment added Sk Sarif Hassan @MMM, how to achieve the bifurcation diagram of the model with respect to the parameter k?
Feb 18, 2017 at 17:49 history edited zhk CC BY-SA 3.0
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Feb 18, 2017 at 17:18 history edited zhk CC BY-SA 3.0
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Feb 18, 2017 at 16:57 history edited zhk CC BY-SA 3.0
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Feb 18, 2017 at 16:36 comment added Chris K This is a nice start. For more interesting results, you should increase c relative to d (otherwise the predators can't persist no matter how much prey they have) and then use prey carrying capacity k as a bifurcation parameter. This is the well-known Rosenzweig-MacArthur predator-prey model. As you increase k there is a Hopf bifurcation where a predatory-prey limit cycle is born.
Feb 18, 2017 at 15:51 history edited zhk CC BY-SA 3.0
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Feb 18, 2017 at 14:58 history edited zhk CC BY-SA 3.0
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Feb 18, 2017 at 14:49 vote accept Sk Sarif Hassan
Feb 18, 2017 at 14:45 history answered zhk CC BY-SA 3.0